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Accurate models of merger remnants are increasingly important for gravitational-wave science, including precision tests of gravity with ringdown, inference of black-hole populations, and modeling hierarchical mergers. For eccentric…

In this thesis, we present and apply the isomonodromy method (or isomonodromic method) to the study of quasinormal modes (QNMs), more precisely, we consider the analysis of modes that are associated with linear perturbations in two distinct…

High Energy Physics - Theory · Physics 2023-08-01 João Paulo Cavalcante

Black hole spectroscopy is a clean and powerful tool to test gravity in the strong-field regime and to probe the nature of compact objects. Next-generation ground-based detectors, such as the Einstein Telescope and Cosmic Explorer, will…

General Relativity and Quantum Cosmology · Physics 2024-03-18 Andrea Maselli , Sophia Yi , Lorenzo Pierini , Vania Vellucci , Luca Reali , Leonardo Gualtieri , Emanuele Berti

Gravitational waves from test masses bound to geodesic orbits of rotating black holes are simulated, using Teukolsky's black hole perturbation formalism, for about ten thousand generic orbital configurations. Each binary radiates power…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Steve Drasco

Validating the black-hole no-hair theorem with gravitational-wave observations of compact binary coalescences provides a compelling argument that the remnant object is indeed a black hole as described by the general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Swetha Bhagwat , Xisco Jimenez Forteza , Paolo Pani , Valeria Ferrari

Theoretical understanding of the characteristic oscillations of a perturbed black hole, also referred to as quasinormal modes (QNMs), is crucial to interpreting the late stage of binary black hole mergers that we now routinely observe in…

General Relativity and Quantum Cosmology · Physics 2025-06-05 Rico K. L. Lo , Leart Sabani , Vitor Cardoso

Black-hole spectroscopy aims to infer properties of the remnant spacetime from the quasinormal-mode (QNM) spectrum of the gravitational-wave ringdown signal. In most implementations, however, this inference is performed with waveform models…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Shitong Guo , Yan-Gang Miao

Measurements of multiple harmonic modes in the gravitational wave signals from binary black hole events could provide an accurate test of general relativity, however they have never been observed before. The sub-dominant modes, other than…

General Relativity and Quantum Cosmology · Physics 2019-01-29 Brendan D. O'Brien , Carlos F. Da Silva Costa , Sergey Klimenko

As gravitational-wave (GW) observations of binary black holes are becoming a precision tool for physics and astronomy, several subdominant effects in the GW signals need to be accurately modeled. Previous studies have shown that neglecting…

General Relativity and Quantum Cosmology · Physics 2019-07-22 Ajit Kumar Mehta , Praveer Tiwari , Nathan K. Johnson-McDaniel , Chandra Kant Mishra , Vijay Varma , Parameswaran Ajith

We propose a novel, frequency-domain approach to the analysis of the gravitational-wave ringdown signal of binary black holes and the identification of quasinormal mode frequencies of the remnant. Our approach avoids the issues of spectral…

General Relativity and Quantum Cosmology · Physics 2022-01-11 Eliot Finch , Christopher J. Moore

It was recently shown that, in a binary coalescence, the greybody factor of the remnant black hole modulates the post-merger ringdown signal. In this work, we demonstrate that a simple four-parameter model based on the greybody factor…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Romeo Felice Rosato , Sophia Yi , Emanuele Berti , Paolo Pani

The spin distribution of binary black hole mergers contains key information concerning the formation channels of these objects, and the astrophysical environments where they form, evolve and coalesce. To quantify the suitability of deep…

General Relativity and Quantum Cosmology · Physics 2020-08-27 Asad Khan , E. A. Huerta , Arnav Das

Recent works have suggested that nonlinear (quadratic) effects in black hole perturbation theory may be important for describing a black hole ringdown. We show that the technique of uniform approximations can be used to accurately compute…

High Energy Physics - Theory · Physics 2023-12-12 Bruno Bucciotti , Adrien Kuntz , Francesco Serra , Enrico Trincherini

Quasinormal modes of rapidly rotating black holes were recently computed in a generic effective-field-theory extension of general relativity with higher-derivative corrections. We exploit this breakthrough to perform the most complete…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Simon Maenaut , Gregorio Carullo , Pablo A. Cano , Anna Liu , Vitor Cardoso , Thomas Hertog , Tjonnie G. F. Li

Ringdown gravitational waves of compact binary mergers are an important target to test general relativity. The main components of the ringdown waveform after merger are black hole quasinormal modes. In general relativity, all multipolar…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Nami Uchikata , Tatsuya Narikawa , Kazuki Sakai , Hirotaka Takahashi , Hiroyuki Nakano

The spectral amplitude of the merger-ringdown gravitational wave (GW) emitted by a comparable mass-ratio black hole merger is modeled by the greybody factor of the remnant black hole. We also include the post-Newtonian correction to the…

General Relativity and Quantum Cosmology · Physics 2024-10-31 Kazumasa Okabayashi , Naritaka Oshita

Black hole spectroscopy with gravitational waves is an important tool to measure the mass and spin of astrophysical black holes and to test their Kerr nature. Next-generation ground- and space-based detectors will observe binary black hole…

General Relativity and Quantum Cosmology · Physics 2022-10-26 Emanuele Berti , Vitor Cardoso , Mark Ho-Yeuk Cheung , Francesco Di Filippo , Francisco Duque , Paul Martens , Shinji Mukohyama

In general relativity, the remnant object originating from an uncharged black hole merger is a Kerr black hole. The approach to this final state is reached through the emission of a late train of radiation known as the black hole ringdown.…

General Relativity and Quantum Cosmology · Physics 2022-01-10 Xisco Jiménez Forteza , Pierre Mourier

Quadratic quasi-normal modes, generated at second order in black hole perturbation theory, are a promising target for testing gravity in the nonlinear regime with next-generation gravitational wave detectors. While their frequencies have…

General Relativity and Quantum Cosmology · Physics 2024-12-16 Bruno Bucciotti , Leonardo Juliano , Adrien Kuntz , Enrico Trincherini

Measuring quasinormal modes (QNMs) during the ringdown phase of binary black hole coalescences provides key insights into merger dynamics and enables tests of the no-hair theorem. The QNM rational filter has recently been introduced as a…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Neil Lu , Sizheng Ma , Ornella J. Piccinni , Ling Sun , Eliot Finch